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Computer Oriented Statistical Methods

Information Technology - Effective Upto 2013


Code : 151601 Common Name : COSM Year : 3 Sem : 5
Theory Hours : 4 Practical Hours : 2 Tutorial Hours : 0 Credits : 6
Exam Marks : 70 Midsem Marks : 30 Practical Marks : 50 Total : 150

Syllabus Topics

Computer Arithmetic
Floating point representation of numbers, Arithmetic operations with normalized floating point numbers and their consequences, Error in number representation - Pitfalls in computing, Error propagation in evaluation.

Iterative Methods
Bisection, False position, Scant, Newton - Raphson methods. Successive approximation method, Newton raphson method for two variables, Discussion of convergence, Solving polynomial equations, Budan''s theorem, Barirstow''s method, Graeffe''s root squaring method.

Interpolation and Approximation
Polynomial interpolation, Truncation error in interpolation, Difference tables and calculus of differences, Cubic splines, Inverse interpolation, Linear regression and nonlinear regression using least square approximation, Approximation of function by Taylor Series and Chebyshev Polynomials.

Numerical Differentiation And Integration
Differentiation dormulas based on polynomial fit, Pit-Falls in differentiation trapezoidal, Simpson''s and gossip quadrature formulas.

Solution Of Simultaneous Linear Equation And Ordinary Differential Equations
Refinement of solution in Gauss elimination method pivoting, Ill Conditional equations, Gauss - Seidal and Gauss Jacobi Interactive methods, Taylor Series And Euler Methods, Error analysis, Runge-Kutta Methods, Predictor-Corrector methods, Automatic error monitoring and change of step size stability of solution.

Statistical Methods
Frequency distributions, Data analysis, Expectations and moments, Co-relation and regression, Trend analysis, Seasonal effects, Cyclical fluctuation, Moving average, MSE, Predictions.


Computer Oriented Numerical Methods

R. S. Salaria., - Khanna Publisher

Computer Oriented Numerical Methods

V Rajaraman., - PHI.

Introduction to Numerical Analysis

S. S. Sastry., - PHI .

Numerical Methods for Scientific & Engineering Computation

M. K. Jain, S.R.K. Lyenger , R. K. Jain, - Wiley Eastern Ltd.

Numerical Methods in Science & Engineering Prog

Dr. B. S. Grawal, - Khanna Pub., New Delhi.

Miller & Freund’s Probability and Statistics for Engineers

Richard A Johnson., - PHI.

Fundamentals of Mathematical Statistics

S. C. Gupta & V. K. Kapoor - Sultan Chand & Sons

Computer Oriented Numerical Methods

D s vyassh & wandra Akshat

Exam Papers

5Dec - 2010

Nov - 2011

Jun - 2011

Dec - 2012

May - 2012

Nov - 2013

May - 2013

Nov - 2014

Jun - 2014

May - 2015

GTU Result

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